A teacher in his physics laboratory allotted an experiment to determine the resistance $(G)$ of a galvanometer. Students took the observations for $\frac{1}{3}$ deflection in the galvanometer. Which of the below is true for measuring value of $G$ $?$
JEE MAIN 2022, Diffcult
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$\Rightarrow\left( I - I _{ g }\right) S = I _{ g } G$

$\frac{I_{g}}{I}=\frac{S}{S+G}$

$\Rightarrow \frac{1}{3}=\frac{S}{S+G} \Rightarrow S+G=3 S \Rightarrow G=2 S$

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